Question

If $AB,AC,PQ$ are tangents in given fig. and $AB=5cm$, find the perimeter of $\Delta APQ$.

Answer 1

Given $AB=5cm$

we know that From a point we can draw two equal tangent on the circle

hence $AB=AC=5cm$

And Also, $PB=PX$

and $QC=QX........\left(1\right)$

Again $AB=AC=5$

$AP+PB=AQ+QC=5$

$AP+PX=AQ+QX=5$ [From eqn $\left(1\right)$]

Perimeter of triangle $△APQ$

$p=AP+PQ+AQ$

$p=(AP+Px)+(QX+AQ)$

$p=5+5$

$p=10cm$